6x+6=9x-21

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Solution for 6x+6=9x-21 equation:


Simplifying
6x + 6 = 9x + -21

Reorder the terms:
6 + 6x = 9x + -21

Reorder the terms:
6 + 6x = -21 + 9x

Solving
6 + 6x = -21 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.
6 + 6x + -9x = -21 + 9x + -9x

Combine like terms: 6x + -9x = -3x
6 + -3x = -21 + 9x + -9x

Combine like terms: 9x + -9x = 0
6 + -3x = -21 + 0
6 + -3x = -21

Add '-6' to each side of the equation.
6 + -6 + -3x = -21 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -21 + -6
-3x = -21 + -6

Combine like terms: -21 + -6 = -27
-3x = -27

Divide each side by '-3'.
x = 9

Simplifying
x = 9

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